Question

1. write two equations to represent the proportional relationship between u.s. dollars, d, and mexican pesos, p. then, explain what each equation represents in context.

p =
explain what this equation represents in context:

d =
explain what this equation represents in context:

Explanation:

for \( p = 17d \)

Step1: Define the exchange rate

Assume the exchange rate is 17 Mexican pesos per U.S. dollar. So if \( d \) is the number of U.S. dollars, to find the number of Mexican pesos \( p \), we multiply the number of dollars by 17.
\( p = 17d \)

Step2: Explain the equation

This equation \( p = 17d \) represents the relationship where for every U.S. dollar (\( d \)), you get 17 Mexican pesos (\( p \)). So if you have \( d \) dollars, the total number of Mexican pesos you can exchange for is 17 times \( d \).

for \( d=\frac{1}{17}p \)

Step1: Rearrange the proportion

From the proportional relationship between pesos and dollars, if \( p = 17d \), we can solve for \( d \) by dividing both sides by 17.
\( d=\frac{p}{17}=\frac{1}{17}p \)

Step2: Explain the equation

This equation \( d = \frac{1}{17}p \) represents the relationship where to find the number of U.S. dollars (\( d \)) you can get for \( p \) Mexican pesos, you divide the number of pesos by 17. Because 1 dollar is equivalent to 17 pesos, so each peso is \( \frac{1}{17} \) of a dollar.

Answer:

s:

• \( p = 17d \)
• Explanation: If 1 U.S. dollar can be exchanged for 17 Mexican pesos, then \( p \) (Mexican pesos) is 17 times \( d \) (U.S. dollars), showing how many pesos you get for \( d \) dollars.
• \( d=\frac{1}{17}p \)
• Explanation: If 17 Mexican pesos are equivalent to 1 U.S. dollar, then \( d \) (U.S. dollars) is \( \frac{1}{17} \) of \( p \) (Mexican pesos), showing how many dollars you get for \( p \) pesos.